The Mathematical Institute, University of Oxford, Eprints Archive

Combination preconditioning and self-adjointness in non-standard inner products with application to saddle point problems

Stoll, Martin and Wathen, A. J. (2007) Combination preconditioning and self-adjointness in non-standard inner products with application to saddle point problems. Technical Report. Unspecified. (Submitted)

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Abstract

It is widely appreciated that the iterative solution of linear systems of equations with large sparse matrices is much easier when the matrix is symmetric. It is equally advantageous to employ symmetric iterative methods when a nonsymmetric matrix is self-adjoint in a non-standard inner product. Here, general conditions for such self-adjointness are considered. In particular, a number of known examples for saddle point systems are surveyed and combined to make new combination preconditioners which are self-adjoint in di erent inner products.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1091
Deposited By:Lotti Ekert
Deposited On:07 May 2011 09:03
Last Modified:07 May 2011 09:03

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